Question

mario has a new job selling electronics. he can choose between two different weekly salary structures. one structure pays him a $276 weekly base pay plus a 6% sales commission. the other structure pays him a $140 weekly base pay plus a 10% sale commission.
define units for the total weekly sales, the salary from the first choice, and the salary from the second choice. enter a variable for the total weekly sales and use this variable to write expressions for the salary from the first choice and the salary from the second choice.

1. how much would he make each way with $5000.00 in weekly sales?
2. if mario takes the second choice, how much in weekly sales did he make if his salary was $960.00? how much would he have made with the first choice?
3. if mario takes the first choice, how much in weekly sales did he make if his salary was $624.00? how much would he have made with the second choice?
4. how much in weekly sales would give him the same salary from both choices?

after completing the worksheet, graph your model.

quantity name	weekly sales	first choice salary	second choice salary
expression	t	276 + 0.06t	140 + 0.1t
question 1
question 2
question 3
question 4

Explanation:

Question 1

Step1: Calculate First Choice Salary

Substitute \( t = 5000 \) into \( 276 + 0.06t \).
\( 276 + 0.06\times5000 \)

Step2: Simplify First Choice

\( 276 + 300 = 576 \)

Step3: Calculate Second Choice Salary

Substitute \( t = 5000 \) into \( 140 + 0.1t \).
\( 140 + 0.1\times5000 \)

Step4: Simplify Second Choice

\( 140 + 500 = 640 \)

Step1: Solve for \( t \) in Second Choice

Set \( 140 + 0.1t = 960 \). Subtract 140: \( 0.1t = 960 - 140 = 820 \).

Step2: Find \( t \)

Divide by 0.1: \( t = \frac{820}{0.1} = 8200 \).

Step3: Calculate First Choice Salary

Substitute \( t = 8200 \) into \( 276 + 0.06t \): \( 276 + 0.06\times8200 \).

Step4: Simplify First Choice

\( 276 + 492 = 768 \).

Step1: Solve for \( t \) in First Choice

Set \( 276 + 0.06t = 624 \). Subtract 276: \( 0.06t = 624 - 276 = 348 \).

Step2: Find \( t \)

Divide by 0.06: \( t = \frac{348}{0.06} = 5800 \).

Step3: Calculate Second Choice Salary

Substitute \( t = 5800 \) into \( 140 + 0.1t \): \( 140 + 0.1\times5800 \).

Step4: Simplify Second Choice

\( 140 + 580 = 720 \).

Answer:

First Choice Salary: \( \$576 \)
Second Choice Salary: \( \$640 \)

Question 2